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Paper 1
Achieving perfect completeness in classical-witness quantum Merlin-Arthur proof systems
Stephen P. Jordan, Hirotada Kobayashi, Daniel Nagaj, Harumichi Nishimura
- Year
- 2011
- Journal
- arXiv preprint
- DOI
- arXiv:1111.5306
- arXiv
- 1111.5306
This paper proves that classical-witness quantum Merlin-Arthur proof systems can achieve perfect completeness. That is, QCMA = QCMA1. This holds under any gate set with which the Hadamard and arbitrary classical reversible transformations can be exactly implemented, e.g., {Hadamard, Toffoli, NOT}. The proof is quantumly nonrelativizing, and uses a simple but novel quantum technique that additively adjusts the success probability, which may be of independent interest.
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